{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 无监督学习简介\n",
    "\n",
    "在本实验中，您将使用**无监督学习**。无监督学习试图在复杂数据中找到固有的结构或关系。与监督学习相比，无监督学习不使用标记。\n",
    "\n",
    "有许多无监督学习的方法。在本实验中，您将使用两种广泛使用的**聚类**方法，**K-means聚类**和**层次**。\n",
    "\n",
    "## K-means聚类\n",
    "\n",
    "K均值聚类将数据集分离为具有相等方差的K个聚类。簇的数量K是用户定义的。基本算法包括以下步骤：\n",
    "1. 随机选择一组K质心。\n",
    "2. 通过最小化每个群集内的方差来形成群集。此度量标准也称为**误差平方和**中的（请参阅有关评估集群的部分中的进一步讨论）。此步骤将数据划分为群集，其中距群集质心的距离最小。\n",
    "3. 质心移动到每个簇的平均值。计算每个聚类的平均值，并将质心移动到平均值。\n",
    "4. 重复步骤2和3，直到满足停止标准。通常，当内部群集方差仅最小程度地减小时，算法终止。\n",
    "5. 从步骤1的随机开始重复上述步骤。保留在簇方差内和簇分离之间的最佳簇集合。\n",
    "\n",
    "由于K均值聚类仅依赖于基本线性代数运算，因此该方法可大规模扩展。核外K-means聚类算法被广泛使用。但是，该方法假设聚类的方差相等，这是一个相当严格的假设。在实践中，这个标准几乎从来都不是一定的，但K-means聚类仍然会产生有用的结果。\n",
    "\n",
    "## 分层聚类\n",
    "\n",
    "与K-means方法相比，分层聚类方法可以减少分布假设。但是，K-means方法通常更具可扩展性，有时甚至更高。\n",
    "\n",
    "分层聚类通过**分裂**方法或**凝聚**方法创建聚类。分裂方法是一种“自上而下”的方法，从整个数据集开始，然后以逐步的方式查找分区。后一种方法被称为凝聚聚类是一种“自下而上”的方法。在本实验中，您将使用凝聚聚类，其大致如下工作：\n",
    "1. 计算每个数据点之间的**连接距离**。\n",
    "2. 点与最近邻居成对聚类。\n",
    "3. 计算簇之间的链接距离。\n",
    "4. 将群集成对组合成更大的群集。\n",
    "5. 重复步骤3和4，直到所有数据点都在一个簇中。\n",
    "\n",
    "链接功能可以通过多种方式计算：\n",
    " -  **Ward**链接测量链接集群的方差增加，\n",
    " -  **平均**链接使用两个簇的成员之间的平均成对距离，\n",
    " -  **完整**或**最大**链接使用两个簇的成员之间的最大距离。\n",
    "\n",
    "几个不同的距离度量用于计算链接函数：\n",
    " -  **Euclidian**或**l2**距离是最广泛使用的。此度量标准仅适用于Ward链接方法。\n",
    " -  **曼哈顿**或**l1**距离对异常值很强，并具有其他有趣的属性。\n",
    " -  **余弦相似度***，是位置向量之间的点积除以向量的大小。请注意，此度量标准是相似性的度量，而其他两个度量标准是差异度量。在处理图像或文本文档等数据时，相似性非常有用。\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 第一个例子\n",
    "\n",
    "考虑到上述理论，您现在将K-means和凝聚聚类模式应用于一组合成数据。\n",
    "\n",
    "首先，执行下面单元格中的代码以加载运行此其余部分所需的包。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import numpy.random as nr\n",
    "from sklearn.cluster import KMeans, AgglomerativeClustering\n",
    "from sklearn.metrics import silhouette_score\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面单元格中的代码创建服从二元正态分布的合成数据，均值为$\\{ 0,0 \\}$，协方差矩阵：\n",
    "\n",
    "$$cov(X) =  \\begin{bmatrix}\n",
    "  1.0 & 0.4 \\\\\n",
    "  0.4 & 1.0\n",
    " \\end{bmatrix}$$\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of sample = (100, 3)\n"
     ]
    }
   ],
   "source": [
    "def make_dist(mean, cov, dist_num, n = 100, seed = 123):\n",
    "    nr.seed(seed)\n",
    "    sample = nr.multivariate_normal(mean, cov, n) # Compute the 2-d Normally distributed data\n",
    "    sample = np.column_stack((sample, np.array([dist_num]*n))) ## Add the distribution identifier\n",
    "    print('Shape of sample = ' + str(sample.shape))\n",
    "    return(sample)\n",
    "\n",
    "cov = np.array([[1.0, 0.4], [0.4, 1.0]])\n",
    "mean = np.array([0.0, 0.0])\n",
    "sample1 = make_dist(mean, cov, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "执行下面单元格中的代码，从两个不同的分布中创建模拟数据："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of sample = (100, 3)\n",
      "Shape of sample = (100, 3)\n"
     ]
    }
   ],
   "source": [
    "cov = np.array([[1.0, 0.8], [0.8, 1.0]])\n",
    "mean = np.array([3.0, 0.0])\n",
    "sample2 = make_dist(mean, cov, 2, 100, 3344)\n",
    "\n",
    "mean = np.array([-3.0,0.0])\n",
    "cov = np.array([[1.0,0.8],[0.8,1.0]])\n",
    "sample3 = make_dist(mean, cov, 3, 100, 5566)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "执行下面单元格中的代码以显示服从三个分布的模拟数据集。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_dat(sample1, sample2, sample3):\n",
    "    plt.scatter(sample1[:,0], sample1[:,1], color = 'blue')\n",
    "    plt.scatter(sample2[:,0], sample2[:,1], color = 'orange')\n",
    "    plt.scatter(sample3[:,0], sample3[:,1], color = 'green')\n",
    "    plt.xlabel('Dimension 1')\n",
    "    plt.ylabel('Dimension 2')\n",
    "    plt.title('Sample data')\n",
    "    plt.show()\n",
    "    \n",
    "plot_dat(sample1, sample2, sample3)  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "请注意，这三个分布大多是分开的，有些重叠。\n",
    "\n",
    "执行下面单元格中的代码以连接三个numpy数组中的数据，并对Z-Score标准化特征列，对任何人来说这都是至关重要的一步："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(300, 3)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample = np.concatenate((sample1, sample2, sample3))\n",
    "\n",
    "for i in range(1):\n",
    "    mean_col = np.mean(sample[:,i])\n",
    "    std_col = np.std(sample[:,i])\n",
    "    sample[:,i] = [(x - mean_col)/std_col for x in sample[:,i]]\n",
    "\n",
    "sample.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来，您将通过以下代码中的以下步骤创建K-means聚类模型：\n",
    "1. K-means聚类模型定义为K = 3。\n",
    "2. 该模型适合于计算的数据和聚类分配。\n",
    "3. 打印群集的分配。\n",
    "\n",
    "执行此代码。\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0 1 0 2 1 2 1 2 1 1 0 0 2 1 2 1 2 1 0 2 2 0 0 1 0 2 1 0 0 1 0 1 1 0 2 1 1\n",
      " 2 0 2 1 1 2 2 1 1 0 0 2 1 1 0 0 1 1 0 0 1 2 1 2 0 1 1 1 2 0 1 0 1 2 1 1 0\n",
      " 0 0 2 2 1 1 0 0 1 1 0 2 2 0 1 0 0 1 1 2 0 0 0 1 0 0 1 2 2 2 1 2 2 2 2 2 2\n",
      " 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 2 2 2\n",
      " 2 1 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n",
      " 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0\n",
      " 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0\n",
      " 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0\n",
      " 0 0 0 0]\n"
     ]
    }
   ],
   "source": [
    "kmeans_3 = KMeans(n_clusters=3, random_state=0)\n",
    "assignments_km3 = kmeans_3.fit_predict(sample[:,0:2])\n",
    "print(assignments_km3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "执行下面单元格中的代码以绘图："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_clusters(sample, assignment):\n",
    "    col_dic = {0:'blue',1:'green',2:'orange',3:'gray',4:'magenta',5:'black'}\n",
    "    colors = [col_dic[x] for x in assignment]\n",
    "    plt.scatter(sample[:,0], sample[:,1], color = colors)\n",
    "    plt.xlabel('Dimension 1')\n",
    "    plt.ylabel('Dimension 2')\n",
    "    plt.title('Sample data')\n",
    "    plt.show()\n",
    "\n",
    "plot_clusters(sample, assignments_km3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "检查这个图， k均值聚类算法在数据中发现了一种与用于生成它们的分布完全不同的结构。 尽管如此，鉴于数据的结构，这些集群看起来是合理的。 聚类将数据分成三个相当紧密的区域："
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "现在，您将比较K-means聚类的结果与凝聚聚类，下面单元格中的代码执行以下处理：\n",
    "1. 定义具有三个聚类的凝聚聚类模型。\n",
    "2. 适合模型并计算群集分配。\n",
    "\n",
    "执行此代码："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "agglomerative_3 = AgglomerativeClustering(n_clusters=3)\n",
    "assignments_ag3 = agglomerative_3.fit_predict(sample[:,0:2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "执行下面单元格中的代码，以显示凝聚模型的聚类分配。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_clusters(sample, assignments_ag3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "凝聚聚类模型的结果与k均值模型的结果明显不同，凝聚簇偏离由k均值算法产生的近似椭圆簇。\n",
    "\n",
    "将上述3个聚类模型应用于三个模拟分布，使用其他数量的聚类会有什么结果？\n",
    "\n",
    "执行下面单元格中的代码以计算K-means集群模型，K = 4，并显示分配。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans_4 = KMeans(n_clusters=4, random_state=0)\n",
    "assignments_km4 = kmeans_4.fit_predict(sample[:,0:2])\n",
    "plot_clusters(sample, assignments_km4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "要将K-means模型与具有两个聚类的凝聚聚类模型进行比较，请执行下面单元格中的代码。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "agglomerative_4 = AgglomerativeClustering(n_clusters=4)\n",
    "assignments_ag4 = agglomerative_4.fit_predict(sample[:,0:2])\n",
    "plot_clusters(sample, assignments_ag4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "将这些结果相互比较并与3个群集模型进行比较。 正如所料，4个簇模型展示了较小的簇，显示了数据结构的更多细节。 发现的结构在k均值和凝聚模型之间明显不同。\n",
    "\n",
    "接下来，您将探索K-means和凝聚聚类方法与5个聚类之间的差异。 执行下面单元格中的代码以计算K = 5 K-means模型并显示分配。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "kmeans_5 = KMeans(n_clusters=5, random_state=0)\n",
    "assignments_km5 = kmeans_5.fit_predict(sample[:,0:2])\n",
    "plot_clusters(sample, assignments_km5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来，执行下面单元格中的代码，计算并显示具有5个聚类的凝聚聚类模型的分配。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "agglomerative_5 = AgglomerativeClustering(n_clusters=5)\n",
    "assignments_ag5 = agglomerative_5.fit_predict(sample[:,0:2])\n",
    "plot_clusters(sample, assignments_ag5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "检查K-means和凝聚聚类方法的分配之间的差异。 请注意，K-means方法创建了5个聚类，这些聚类明显不同于凝聚模型的结构。 每个模型都突出了数据结构的不同方面。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 评估集群模型\n",
    "\n",
    "现在您已经创建了一些聚类模型，您可能想知道如何评估这些模型并执行模型选择。 您可以使用许多指标来评估和比较群集模型。 但是，您应该始终牢记，应根据您尝试解决的问题选择最佳模型。\n",
    "\n",
    "集群的一个有用指标是**簇内平方和**或**WCSS**。直观地说，簇应具有最小的发散，因此WCSS最小。\n",
    "\n",
    "$$WCSS = Min \\sum_i \\sum_{j\\ in\\ cluster\\ i} ||x_j - c_i||^2 \\\\\n",
    "where\\\\\n",
    "c_i = center\\ of\\ ith\\ cluster\\\\ \n",
    "and\\\\\n",
    "||x_j - c_i|| = distance\\ between\\ data\\ x_j\\ and\\ center\\ c_i\n",
    "$$\n",
    "\n",
    "我们可以使用WCSS来比较不同的集群模型。 具有较小SSW的模型具有更紧密的簇，因此具有更小的WCSS。\n",
    "\n",
    "****\n",
    "**注意：** WCSS也称为**inertia**。\n",
    "****\n",
    "\n",
    "**簇间的平方和**或**BCSS**是相关度量，而WCSS测量群集的紧密程度BCSS是群集之间分离的度量。请注意是**总平方和**是**TSS**必须等于WCSS和BCSS的总和：\n",
    "\n",
    "\n",
    "$$\n",
    "TSS = BCSS + WCSS\\\\\n",
    "where\\\\\n",
    "TSS = \\sum_i (x_i - \\mu)^2\\\\\n",
    "where\\\\\n",
    "\\mu = mean\\ of\\ all\\ data\\ samples\n",
    "$$\n",
    "\n",
    "请注意，TSS只是所有数据点的方差，那么BCSS就是TSS和WCSS之间的区别。\n",
    "\n",
    "**轮廓系数**或**SC**是另一个聚类度量。 轮廓系数测量簇内距离与距离最近的相邻簇的距离之间的比率。 群集的$ith$成员的SC计算如下：\n",
    "\n",
    "$$\n",
    "SC_i = \\frac{b_i -a_i }{max(a_i, b_i)}\\\\\n",
    "where\\\\\n",
    "a_i = average\\ distance\\ from\\ point\\ i\\ to\\ other\\ members\\ of\\ the\\ same\\ cluster\\\\\n",
    "b_i = average\\ distance\\ from\\ point\\ i\\ to\\ members\\ of\\ an\\ adjacent\\ cluster\n",
    "$$\n",
    "\n",
    "首先SC具有一些重要属性，SC值因标准化而受到限制：\n",
    "\n",
    "$$\\{ -1 \\le SC \\le 1 \\}$$\n",
    "\n",
    "对于群集紧凑且与相邻群集良好分离的情况，以下关系成立：\n",
    "\n",
    "$$if\\ a_i \\lt b_i\\ then\\ SC \\gt 0$$\n",
    "\n",
    "但是，对于与相邻群集分离不良的分散群集，以下关系成立：\n",
    "\n",
    "$$if\\ a_i \\gt b_i\\ then\\ SC \\lt 0$$\n",
    "\n",
    "换句话说，群集越紧密，它就越远离相邻群集的成员。 SC值越接近1.但是，如果群集是分散的并且到相邻群集的距离很小，则SC将具有小于0的值。\n",
    "\n",
    "总之，您希望找到SC值接近1的模型。如果SC始终小于零，则聚类模型可能没那么有用。\n",
    "\n",
    "****\n",
    "**注意** WCSS和BCSS指标具有聚类的概念要求簇具有多变量-正态分布。 因此，这些指标严格仅适用于K均值集群。这一事实意味着WCSS和BCSS不是凝聚聚类的有用指标。可以使用各种度量来计算SC，因此更一般地适用于大多数聚类方法。\n",
    "****\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在上一节中，您使用可视化比较了聚类模型。 下面单元格中的代码计算并显示了尝试的三个K-means聚类模型的WCSS和BCSS。 执行此代码并检查结果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[218.118920062178, 157.80708909786227, 122.86119030810535]\n",
      "[300.]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "km_models = [kmeans_3, kmeans_4, kmeans_5]\n",
    "\n",
    "def plot_WCSS_km(km_models, samples):\n",
    "    fig, ax = plt.subplots(1, 2, figsize=(12,5))\n",
    "    \n",
    "    ## Plot WCSS\n",
    "    wcss = [mod.inertia_ for mod in km_models]\n",
    "    print(wcss)\n",
    "    n_clusts = [x+1 for x in range(2,len(wcss) + 2)]\n",
    "    ax[0].bar(n_clusts, wcss)\n",
    "    ax[0].set_xlabel('Number of clusters')\n",
    "    ax[0].set_ylabel('WCSS')\n",
    "    \n",
    "    ## Plot BCSS\n",
    "    tss = np.sum(sample[:,0:1]**2, axis = 0)\n",
    "    print(tss)\n",
    "    ## Compute BCSS as TSS - WCSS\n",
    "    bcss = np.concatenate([tss - x for x in wcss]).ravel()\n",
    "    ax[1].bar(n_clusts, bcss)\n",
    "    ax[1].set_xlabel('Number of clusters')\n",
    "    ax[1].set_ylabel('BCSS')\n",
    "    plt.show()\n",
    "    \n",
    "\n",
    "plot_WCSS_km(km_models, sample)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "检查这些结果并注意以下事项：\n",
    "1. WCSS随着集群的数量而减少，而BCSS随着集群的数量而增加，此行为是符合预期的。 使用更多群集会导致较小的群集和较低的WCSS。 然而，簇之间的分离随着簇的数量增加而减少，导致BCSS增加。\n",
    "2. WCSS在3到4个集群之间显着减少。4和5集群模型之间的两个指标的变化较小。\n",
    "3. 这些指标表明4和5集群模型之间没有太大差异。 然而，3簇模型似乎较差。\n",
    "\n",
    "下面单元格中的代码计算并显示三个M-means模型的SC。 此代码使用scikit-learn`metrics`包中的`silhouette_score`函数。 执行此代码并检查结果。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "assignment_list = [assignments_km3, assignments_km4, assignments_km5]\n",
    "\n",
    "def plot_sillohette(samples, assignments, x_lab = 'Number of clusters', start = 3):\n",
    "    silhouette = [silhouette_score(samples[:,0:1], a) for a in assignments]\n",
    "    n_clusts = [x + start for x in range(0, len(silhouette))]\n",
    "    plt.bar(n_clusts, silhouette)\n",
    "    plt.xlabel(x_lab)\n",
    "    plt.ylabel('SC')\n",
    "    plt.show()\n",
    "\n",
    "plot_sillohette(sample, assignment_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "SC随着簇数的增加而减少，4和5簇模型具有相当低的SC。\n",
    "\n",
    "总的来说，三个指标表明k = 5 k-means模型是最具代表性的。 虽然k = 3模型具有更高的SC，但WCSS更大并且BCSS更低。\n",
    "\n",
    "使用k均值聚类模型的探索可以扩展到更多数量的聚类。\n",
    "\n",
    "下面单元格中的代码计算并显示三个凝聚聚类模型的SC，执行此代码并检查结果："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "assignment_list = [assignments_ag3, assignments_ag4, assignments_ag5]\n",
    "plot_sillohette(sample, assignment_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "SC类似于3和5簇模型，看起来5簇模型已经创建了原始3个簇的更精细的划分。 对于层次聚类模型，此行为是预期的。 这些模型中的聚类划分是基于树结构的分割。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 另一个例子\n",
    "\n",
    "上述实施例提供了对K均值和凝聚聚类的基本介绍。 在本节中，您将使用另一组合成数据，并探索距离度量和连接函数的变化如何改变凝聚聚类结果。\n",
    "\n",
    "下面单元格中的代码计算由三个分布组成的另一个合成数据集。 其中一个分布具有比前一个示例大得多的协方差。 这一事实将强调K均值聚类模型的等方差假设。\n",
    "\n",
    "执行此代码以生成和显示数据集。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "nr.seed(3344)\n",
    "cov = np.array([[1.0, -0.98], [-0.98, 1.0]])\n",
    "mean = np.array([-1.0, 0.0])\n",
    "sample1 = make_dist(mean, cov, 1, 100, 3344)\n",
    "\n",
    "nr.seed(5566)\n",
    "cov = np.array([[1.0, -0.8], [-0.8, 1.0]])\n",
    "mean = np.array([6.0, 0.0])\n",
    "sample2 = make_dist(mean, cov, 1, 100, 6677)\n",
    "\n",
    "nr.seed(7777)\n",
    "cov = np.array([[1.0, 0.9], [0.9, 1.0]])\n",
    "mean = np.array([-4.0, 0.0])\n",
    "sample3= make_dist(mean, cov, 3, 100, 367)\n",
    "\n",
    "## Plot the distributions\n",
    "plot_dat(sample1, sample2, sample3) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "正如预期的那样，数据集由三个不同的分布组成。 中心的分布表现出高协方差。\n",
    "\n",
    "现在，执行下面单元格中的代码，将三个分布连接成一个numpy数组，并将Z-Score标准化。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(300, 3)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_2 = np.concatenate((sample1, sample2, sample3))\n",
    "\n",
    "for i in range(1):\n",
    "    mean_col = np.mean(sample_2[:,i])\n",
    "    std_col = np.std(sample_2[:,i])\n",
    "    sample_2[:,i] = [(x - mean_col)/std_col for x in sample_2[:,i]]\n",
    "\n",
    "sample_2.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "K = 3 K-means模型是比较的有用的，执行下面单元格中的代码以计算模型并显示集群分配。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.2855226149210479\n"
     ]
    }
   ],
   "source": [
    "nr.seed(3344)\n",
    "kmeans_3 = KMeans(n_clusters=3, random_state=0)\n",
    "assignments_km3 = kmeans_3.fit_predict(sample_2[:,0:2])\n",
    "plot_clusters(sample_2, assignments_km3)\n",
    "print(silhouette_score(sample_2[:,0:1], assignments_km3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "k = 3 K-means聚类模型在很大程度上将右侧数据分开，并在左侧分割数据分布。\n",
    "\n",
    "现在，通过执行下面单元格中的代码，使用Ward链接和欧几里德距离规范（scikit-learn中的默认值）计算3-cluster凝聚模型。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(3344)\n",
    "agglomerative3_w = AgglomerativeClustering(n_clusters=3)\n",
    "assignments3_w = agglomerative3_w.fit_predict(sample_2[:,0:2])\n",
    "plot_clusters(sample_2, assignments3_w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上面显示的群集分配主要链接原始分布。 但是，某些点会链接到右下角的新群集中。\n",
    "\n",
    "但是，使用其他连接功能会产生什么影响？ 为了找到答案，请执行下面单元格中的代码，以使用平均关联来计算和显示3聚类模型的分布。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(5555)\n",
    "agglomerative3_a = AgglomerativeClustering(n_clusters=3, linkage = 'average')\n",
    "assignments3_a = agglomerative3_a.fit_predict(sample_2[:,0:2])\n",
    "plot_clusters(sample_2, assignments3_a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "聚类分配更好地遵循数据结构，第三个簇右下方有两个外围点。\n",
    "\n",
    "现在，执行下面单元格中的代码，使用完整或最大链接计算和显示3簇凝聚模型的聚类效果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(987)\n",
    "agglomerative3_c = AgglomerativeClustering(n_clusters=3, linkage = 'complete')\n",
    "assignments3_c = agglomerative3_c.fit_predict(sample_2[:,0:2])\n",
    "plot_clusters(sample_2, assignments3_c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这些聚类与之前看到的完全不同。 但是，分配似乎与数据不一致。\n",
    "\n",
    "尝试了几种连接功能后，您将探索使用不同的距离指标。 下面的单元格中的代码使用曼哈顿或l1距离度量来计算具有平均连接的3簇模型。 执行此代码并检查显示的类分配：\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(3344)\n",
    "agglomerative3_a_m = AgglomerativeClustering(n_clusters=3, linkage = 'average', affinity = 'manhattan')\n",
    "assignments3_a_m = agglomerative3_a_m.fit_predict(sample_2[:,0:2])\n",
    "plot_clusters(sample_2, assignments3_a_m)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这些分配与使用平均连接和欧几里德距离获得的聚类分配相同。\n",
    "\n",
    "可以尝试一些距离度量和连接的其他组合。 尝试平均连接和余弦相似性，执行下面单元格中的代码，使用平均连接和余弦相似度计算和显示3聚模型的效果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nr.seed(234)\n",
    "agglomerative3_a_c = AgglomerativeClustering(n_clusters=3, linkage = 'average', affinity = 'cosine')\n",
    "assignments3_a_c = agglomerative3_a_c.fit_predict(sample_2[:,0:2])\n",
    "plot_clusters(sample_2, assignments3_a_c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "与其他度量选择一样，将数据划分看起来有点凌乱。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "最后，计算每个模型的SC，并通过执行下面单元格中的代码来比较它们："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "assignment_list = [assignments3_w, assignments3_a, assignments3_c, assignments3_a_m, assignments3_a_c]\n",
    "plot_sillohette(sample, assignment_list, x_lab = 'Model number', start = 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "具有Ward连接和欧几里德距离的第一个模型具有最高的SC。 使用平均连接和欧几里德或曼哈顿距离的三个群集模块几乎一样好。 从上述内容可以清楚地看出，距离度量和联系的选择可以对凝聚聚类的结果产生显着影响。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## 摘要\n",
    "\n",
    "在本实验中，您使用了两种常用的聚类模型，K-means聚类和分层聚合聚类。这些方法是无监督学习的例子，因为它们试图在不使用标签或标记的情况下在数据中找到有趣的结构。\n",
    "\n",
    "对于凝聚性群集模型，链接可以是以下任何一种：\n",
    " -  **Ward**或方差增加，\n",
    " -  **平均**连接或成对簇之间的平均成对距离，\n",
    " -  **完全**或**最大**连接或两个簇的成员之间的最大距离。\n",
    "\n",
    "几个不同的距离度量用于计算链接函数：\n",
    " -  **Euclidian**或**l2**，\n",
    " -  **曼哈顿**或**l1**，\n",
    " -  **余弦相似度**。\n",
    "\n",
    "聚类模型的一个关键问题是确定聚类的数量，由于没有标签，因此必须通过可视化和指标的组合来执行模型选择。用于评估群集模型的度量标准包括：\n",
    " - **群集平方和（WCSS）**和**簇间集平方和（BCSS）**仅用于K均值聚类。理想情况下，一个好的K-menas集群模型应该具有小的WCSS和大的BCSS。\n",
    " - 大多数任何聚类模型都可以使用**轮廓系数（SC）**进行评估，SC测量群集内距离与距离最近的相邻群集的距离之间的比率。\n"
   ]
  }
 ],
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